In triangle DEF, side d measures 127 mm; side e measures 144 mm and angle E is 47°; and angle D. Hint: Draw the triangle and label its sides and angles.

Q: sin x 17 A. 21.1° = sin 88 47 B. 21.2° C. 58.8° D. 58.9°

A: Given query is to solve for x.

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Q: Given f(x) f'(x)= = 2 9 x X " find f'(x) using the limit definition of the derivative.

A: Given: f(x)= (2-x)/(9-x)

Q: ) lim 818 5) lim 7x³+3r²-11a √64x9 x+8 √16x² +1

A: we will find the required.

Q: Use the table of values to evaluate the expressions below. rf(x) g(x) 0 1 1 2 2 6 3 7 4 4 5 3 9 5 6…

A: let  A=f(g(1)) g(1) is when x=1, value of g(x)

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A: The given differential equation is;  3y''+2y'+y=0

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A: Question - Find the volume of the solid obtained by rotating the region bounded by the given curves…

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A: Topic = Function

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Q: Find the center and radius of the sphere with equation (x+5)^2+(y−6)^2+(z+4)^2= 49

A: given  (x+5)2+(y-6)2+(z+4)2=49 standard form is (x-a)2+(y-b)2+(z-c)2=r2 where centrev is  (a,b,c)…

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Q: 1. Graph a few level curves for z = 6 - 2x - 2y. What shape is this?

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Q: Evaluate the limit lim Y→ 2 5(y² - 1) 4y² (y - 1)³

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Q: So whats the answer?

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Q: Then use equation (1) to find sin'x cos5x 0 -dx.

A: Given integral ∫0π4sin7xcos5xdx

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Q: Find the distance from the point (-2, -2, 2) to the plane 3x−5y+5z=9.

A: given point is  (-2,-2,2)  plane is  3x-5y+5z=9standard form of plane is  ax0+by0+cz0+d=0formula for…

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A: Question - solve u'(t) + u(t) = 5 subject to u(2)=-2

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Q: But for any vector A and scalar V, the identity or V VA = A.VV + V(V-A) (VA) V = VVA - A VV

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Q: Find the domain and range of the function graphed below. -5 -4 -3 -2 Domain: Range: 3 CH 74 1 -1 -2…

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A: Given equation:- st=55-16t-22 Here s is height of ball in feet and t is time in seconds

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Q: Find the average value of the function f(x) = -7x4 on the closed interval [-2, 2]. average value =

A: Given query is to find average value of the function.

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Q: 3, 0≤t≤1 f(t)=3-4t, 1 ≤ t ≤ 3 -t², t≥ 3 = {3-

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Q: Jasinxdx Answer: xcosx + Sinx +c

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A: A detailed solution is given below.

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A: Given differential equation:- y'''-6y''=6-cosx

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Q: Suppose f is a continuous function on -2, 2] such that f(-2) = 1, f(2) = -1. Which of the properties…

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Q: In this exercise we use the Distance Formula. Find a point on the y-axis that is equidistant from…

A: at y axis ,  x is zero let assume a point on y axis is  (0,y)given points is  (9,-9)  and (2,2)…

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Q: Is this function g(t) continuous on the given interval? - Ists ts I 7 sint on

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A: